IDEAS home Printed from https://ideas.repec.org/p/imd/wpaper/wp2011-14.html
   My bibliography  Save this paper

Cooperative games with incomplete information: Some open problems

Author

Listed:
  • Françoise Forges

    (l'Université Paris-Dauphine)

  • Roberto Serrano

    (Brown University and IMDEA Social Sciences Institute)

Abstract

This is a brief survey describing some of the recent progress and open problems in the area of cooperative games with incomplete information. We discuss exchange economies, cooperative Bayesian games with orthogonal coalitions, and issues of cooperation in non-cooperative Bayesian games.

Suggested Citation

  • Françoise Forges & Roberto Serrano, 2011. "Cooperative games with incomplete information: Some open problems," Working Papers 2011-14, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
  • Handle: RePEc:imd:wpaper:wp2011-14
    as

    Download full text from publisher

    File URL: http://repec.imdea.org/pdf/imdea-wp2011-14.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. de Clippel, Geoffroy, 2005. "Values for cooperative games with incomplete information: An eloquent example," Games and Economic Behavior, Elsevier, vol. 53(1), pages 73-82, October.
    2. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
    3. de Clippel, Geoffroy & Minelli, Enrico, 2004. "Two-person bargaining with verifiable information," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 799-813, November.
    4. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
    5. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    6. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    7. Kalai, Adam Tauman & Kalai, Ehud & Lehrer, Ehud & Samet, Dov, 2010. "A commitment folk theorem," Games and Economic Behavior, Elsevier, vol. 69(1), pages 127-137, May.
    8. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    9. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    10. Myerson, Roger B, 1984. "Two-Person Bargaining Problems with Incomplete Information," Econometrica, Econometric Society, vol. 52(2), pages 461-487, March.
    11. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    12. Roberto Serrano & Rajiv Vohra & Oscar Volij, 2001. "On the Failure of Core Convergence in Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 69(6), pages 1685-1696, November.
    13. de Clippel, Geoffroy, 2007. "The type-agent core for exchange economies with asymmetric information," Journal of Economic Theory, Elsevier, vol. 135(1), pages 144-158, July.
    14. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    15. Okada, Akira, 2012. "Non-cooperative bargaining and the incomplete informational core," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1165-1190.
    16. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    17. Françoise Forges & Aviad Heifetz & Enrico Minelli, 2005. "Incentive compatible core and competitive equilibria in differential information economies," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 185-201, Springer.
    18. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    19. Biran, Omer & Forges, Françoise, 2011. "Core-stable rings in auctions with independent private values," Games and Economic Behavior, Elsevier, vol. 73(1), pages 52-64, September.
    20. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2000. "Rational expectations equilibria and the ex-post core of an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 527-535, December.
    21. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
    22. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    23. Francoise Forges & Jean-Francois Mertens & Rajiv Vohra, 2002. "The Ex Ante Incentive Compatible Core in the Absence of Wealth Effects," Econometrica, Econometric Society, vol. 70(5), pages 1865-1892, September.
    24. Sergiu Hart & Andreu Mas-Colell, 2010. "Bargaining and Cooperation in Strategic Form Games," Journal of the European Economic Association, MIT Press, vol. 8(1), pages 7-33, March.
    25. Myerson, Roger B., 2007. "Virtual utility and the core for games with incomplete information," Journal of Economic Theory, Elsevier, vol. 136(1), pages 260-285, September.
    26. Dutta, Bhaskar & Vohra, Rajiv, 2005. "Incomplete information, credibility and the core," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 148-165, September.
    27. repec:dau:papers:123456789/4100 is not listed on IDEAS
    28. repec:dau:papers:123456789/5451 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Salamanca, Andrés, 2020. "On the values of Bayesian cooperative games with sidepayments," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 38-49.
    2. Jonathan Newton, 2019. "Agency Equilibrium," Games, MDPI, Open Access Journal, vol. 10(1), pages 1-15, March.
    3. Andrés Salamanca, 2020. "A generalization of the Harsanyi NTU value to games with incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 195-225, March.
    4. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    5. Roberto Serrano, 2020. "Sixty-Seven Years of the Nash Program: Time for Retirement?," Working Papers 2020-20, Brown University, Department of Economics.
    6. Kevin Bryan & Michael Ryall & Burkhard C. Schipper, 2019. "Value-Capture in the Face of Known and Unknown Unknowns," Working Papers 333, University of California, Davis, Department of Economics.
    7. Geoffroy de Clippel & Jack Fanning & Kareen Rozen, 2020. "Bargaining over Contingent Contracts Under Incomplete Information," Working Papers 2020-13, Brown University, Department of Economics.
    8. Routledge, R.R., 2014. "Deviations, uncertainty and the core," Games and Economic Behavior, Elsevier, vol. 88(C), pages 286-297.
    9. Hellman, Ziv & Peretz, Ron, 2018. "Values for cooperative games over graphs and games with inadmissible coalitions," Games and Economic Behavior, Elsevier, vol. 108(C), pages 22-36.
    10. Roberto Serrano, 2021. "Sixty-seven years of the Nash program: time for retirement?," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 35-48, March.
    11. Yusuke Kamishiro & Roberto Serrano, 2020. "Small Informational Size and Interim Cores of Large Quasilinear Economies," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 1-12, March.
    12. Xuan Vinh Doan & Tri-Dung Nguyen, 2019. "Technical Note—Robust Newsvendor Games with Ambiguity in Demand Distributions," Operations Research, INFORMS, vol. 68(4), pages 1047-1062, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:dau:papers:123456789/8158 is not listed on IDEAS
    2. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    3. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    4. Myerson, Roger B., 2007. "Virtual utility and the core for games with incomplete information," Journal of Economic Theory, Elsevier, vol. 136(1), pages 260-285, September.
    5. Yusuke Kamishiro & Roberto Serrano, 2008. "Information Transmission and Core Convergence in Quasilinear Economies," Working Papers 2008-5, Brown University, Department of Economics.
    6. Francoise Forges, 2006. "The Ex Ante Incentive Compatible Core in Exchange Economies with and without Indivisibilities," CESifo Working Paper Series 1686, CESifo.
    7. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    8. Kim, Jin Yeub, 2017. "Interim third-party selection in bargaining," Games and Economic Behavior, Elsevier, vol. 102(C), pages 645-665.
    9. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.
    10. de Clippel, Geoffroy & Pérez-Castrillo, David & Wettstein, David, 2012. "Egalitarian equivalence under asymmetric information," Games and Economic Behavior, Elsevier, vol. 75(1), pages 413-423.
    11. Biran, Omer, 2011. "Core stable bidding rings in independent private value auctions with externalities," MPRA Paper 32164, University Library of Munich, Germany.
    12. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    13. Andrés Salamanca, 2020. "A generalization of the Harsanyi NTU value to games with incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 195-225, March.
    14. Salamanca, Andrés, 2020. "On the values of Bayesian cooperative games with sidepayments," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 38-49.
    15. Yusuke Kamishiro, 2015. "On the core of a cost allocation problem under asymmetric information," Operations Research and Decisions, Wroclaw University of Science Technology, Faculty of Management, vol. 1, pages 17-32.
    16. Kamishiro, Yusuke, 2011. "Informational size and the incentive compatible coarse core in quasilinear economies," Games and Economic Behavior, Elsevier, vol. 71(2), pages 513-520, March.
    17. Mikhail Safronov, 2016. "A Coasian Approach to Efficient Mechanism Design," Cambridge Working Papers in Economics 1619, Faculty of Economics, University of Cambridge.
    18. Forges, Francoise, 2004. "The ex ante incentive compatible core of the assignment game," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 135-151, March.
    19. Biran, Omer & Forges, Françoise, 2011. "Core-stable rings in auctions with independent private values," Games and Economic Behavior, Elsevier, vol. 73(1), pages 52-64, September.
    20. Okada, Akira, 2012. "Non-cooperative bargaining and the incomplete informational core," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1165-1190.
    21. João Correia-da-Silva, 2015. "Two-period economies with price-contingent deliveries," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 509-525, August.

    More about this item

    Keywords

    strategic externalities; informational externalities; exchange economies; cooperative games with orthogonal coalitions; non-cooperative bayesian games;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:imd:wpaper:wp2011-14. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/icimdes.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: IMDEA RePEc Maintainer (email available below). General contact details of provider: https://edirc.repec.org/data/icimdes.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.